Introduction to GNU Octave A brief tutorial for linear algebra and calculus students
This brief book provides a noncomprehensive introduction to GNU Octave, a free open source alternative to MatLab. The basic syntax and usage is explained through concrete examples from the mathematics courses a math, computer science, or engineering major encounters in the first two years of college...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Wytheville, Virginia
Jason Lachniet
[2017]
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- Contents
- Preface
- 1 Basic operation
- 1.1 Introduction
- 1.2 Navigating the GUI
- 1.3 Matrices and vectors
- 1.4 Plotting
- Chapter 1 Exercises
- 2 Matrices and linear systems
- 2.1 Linear systems
- 2.2 Polynomial curve fitting
- 2.3 Matrix transformations
- Chapter 2 Exercises
- 3 Calculus
- 3.1 Limits, sequences, and series
- 3.2 Numerical integration
- 3.3 Parametric, polar, and implicit functions
- 3.4 Complex variables
- 3.5 Special functions
- 3.6 Symbolic operations
- Chapter 3 Exercises
- 4 Eigenvalue problems
- 4.1 Eigenvalues and eigenvectors
- 4.2 Markov chains
- 4.3 Diagonalization
- 4.4 Singular value decomposition
- 4.5 Gram-Schmidt and the QR algorithm
- Chapter 4 Exercises
- 5 Additional topics
- 5.1 Three dimensional graphs
- 5.2 Multiple integrals
- 5.3 Vector fields
- 5.4 Statistics
- 5.5 Differential equations
- Chapter 5 Exercises
- 6 Applied projects
- 6.1 SVD and digital image compression
- 6.2 The Gini index and nonlinear curve-fitting
- 6.3 Designing a helical strake: arc length and curvature
- 6.4 Modeling a cave passage: cubic spline curves
- 6.5 Graphs of surfaces and 3D-printing
- A MATLAB compatibility
- B List of Octave commands
- References
- Index